Report of the fit

Fit summary

Description: PV19 version x, parameters for NNLL. Initial parameters from a previous fit with ceres on replica zero. T0 parameters from the previous to previous fit. Steps from minuit minimisation.
Minimiser: minuit
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Cut on the error function: 4
Parameterisation: PV19x
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2	N_1	\alpha	\sigma	\lambda	N_{1B}	\alpha_B	\sigma_B	g_{2B}
0.005144	0.68535248	0.21943481	0.3329461	0.66627605	0.0387879	0.075758463	0.34845635	0.019224141

Theory summary

Collinear PDF set: MMHT2014nlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: NNLL
Initial parameters fluctuations: True
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 173
\chi_{0}^2 = 1.6571
\chi_{mean}^2 = 1.6341
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.6823 \pm 0.0163
\langle E \rangle \pm \sigma_{E} = 2.6372 \pm 0.1915

Parameters

Parameter	Central replica	Average over replicas	Fixed
g_2	-0.091343204	-0.09242544 \pm 0.01642545	False
N_1	5.3553982	5.3553982 \pm 0.0	True
\alpha	1.0805391	1.09779861 \pm 0.38066408	False
\sigma	0.9431266	0.91765216 \pm 0.12484923	False
\lambda	0.49120348	0.48996388 \pm 0.07100341	False
N_{1B}	0.040471695	0.04404218 \pm 0.01034721	False
\alpha_B	0.052405509	0.05811231 \pm 0.02975318	False
\sigma_B	0.56591202	0.53112528 \pm 0.11609349	False
g_{2B}	0.034188315	0.03495914 \pm 0.00804642	False

Fit properties

Global $\chi^2$ distribution — Global \chi^2 distribution

$\alpha$ distribution — \alpha distribution

$\sigma$ distribution — \sigma distribution

$\lambda$ distribution — \lambda distribution

$N_{1B}$ distribution — N_{1B} distribution

$\alpha_B$ distribution — \alpha_B distribution

$\sigma_B$ distribution — \sigma_B distribution

$g_{2B}$ distribution — g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.4826	0.0313	0.514
E605_Q_8_9	8	0.9991	0.0179	1.017
E605_Q_10.5_11.5	10	0.4928	0.1393	0.6322
E288_200_Q_4_5	4	0.9256	0.8564	1.782
E288_200_Q_5_6	5	2.3052	0.3541	2.6593
E288_200_Q_6_7	6	0.7917	0.2111	1.0028
E288_200_Q_7_8	7	0.9857	0.032	1.0177
E288_200_Q_8_9	8	0.7347	0.0059	0.7406
E288_300_Q_4_5	4	0.7749	0.3398	1.1147
E288_300_Q_5_6	5	1.394	0.0995	1.4935
E288_300_Q_6_7	6	1.0371	0.0397	1.0768
E288_300_Q_7_8	7	0.3419	0.0425	0.3844
E288_300_Q_8_9	8	0.3924	0.0384	0.4308
E288_400_Q_5_6	5	0.9363	0.0011	0.9374
E288_400_Q_6_7	6	0.5219	0.0069	0.5287
E288_400_Q_7_8	7	0.2461	0.0139	0.26
E288_400_Q_8_9	8	0.5589	0.0127	0.5716
E288_400_Q_11_12	11	0.5713	0.0068	0.5781
E288_400_Q_12_13	12	0.5368	0.0113	0.5481
E288_400_Q_13_14	12	0.3425	0.0362	0.3787
STAR_510	7	1.193	0.0135	1.2066
CDF_RunI	25	0.6526	0.1483	0.8009
CDF_RunII	26	1.2796	0.0074	1.287
D0_RunI	12	0.6669	0.0018	0.6687
D0_RunII	5	0.914	0.2909	1.2049
D0_RunIImu	3	0.1228	0.0862	0.2089
LHCb_7TeV	7	1.9434	0.8425	2.7859
LHCb_8TeV	7	1.9152	1.452	3.3672
LHCb_13TeV	7	1.4916	0.2891	1.7807
CMS_7TeV	4	2.8935	0	2.8935
CMS_8TeV	4	1.4855	0.1783	1.6639
ATLAS_7TeV_y_0_1	6	6.9605	1.0906	8.0511
ATLAS_7TeV_y_1_2	6	4.9357	0.4829	5.4186
ATLAS_7TeV_y_2_2.4	6	1.8106	0.0099	1.8206
ATLAS_8TeV_y_0_0.4	6	4.7809	0.9768	5.7576
ATLAS_8TeV_y_0.4_0.8	6	6.7037	1.5463	8.2501
ATLAS_8TeV_y_0.8_1.2	6	4.364	0.6694	5.0335
ATLAS_8TeV_y_1.2_1.6	6	2.9492	0.4253	3.3745
ATLAS_8TeV_y_1.6_2	6	2.5631	0.2704	2.8336
ATLAS_8TeV_y_2_2.4	6	1.2871	0.162	1.449
ATLAS_8TeV_Q_46_66	4	0.7702	0.0369	0.8071
ATLAS_8TeV_Q_116_150	8	1.1515	0.0073	1.1587
Total	319	-	-	1.6571

Mean-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.6195	0.0842	0.7037
E605_Q_8_9	8	1.2033	0.0491	1.2524
E605_Q_10.5_11.5	10	0.3704	0.0966	0.467
E288_200_Q_4_5	4	0.4592	0.4626	0.9218
E288_200_Q_5_6	5	1.3421	0.2805	1.6226
E288_200_Q_6_7	6	0.5894	0.1838	0.7731
E288_200_Q_7_8	7	0.9044	0.0379	0.9423
E288_200_Q_8_9	8	0.9133	0.009	0.9223
E288_300_Q_4_5	4	0.5417	0.1742	0.7159
E288_300_Q_5_6	5	1.1792	0.0622	1.2414
E288_300_Q_6_7	6	0.9837	0.0266	1.0104
E288_300_Q_7_8	7	0.3435	0.0331	0.3766
E288_300_Q_8_9	8	0.2798	0.0403	0.3201
E288_400_Q_5_6	5	1.1387	0.0151	1.1538
E288_400_Q_6_7	6	0.6721	0.0307	0.7028
E288_400_Q_7_8	7	0.3372	0.0486	0.3857
E288_400_Q_8_9	8	0.7678	0.0428	0.8106
E288_400_Q_11_12	11	0.843	0.0125	0.8555
E288_400_Q_12_13	12	0.8667	0.0144	0.8812
E288_400_Q_13_14	12	0.8896	0.0579	0.9475
STAR_510	7	1.1585	0.0374	1.1959
CDF_RunI	25	0.5704	0.1422	0.7126
CDF_RunII	26	1.2159	0.006	1.2219
D0_RunI	12	0.6306	0.0007	0.6313
D0_RunII	5	1.0627	0.2934	1.3561
D0_RunIImu	3	0.0272	0.0358	0.063
LHCb_7TeV	7	1.661	0.8488	2.5097
LHCb_8TeV	7	1.7915	1.3835	3.175
LHCb_13TeV	7	1.344	0.2686	1.6126
CMS_7TeV	4	2.8712	0	2.8712
CMS_8TeV	4	1.4974	0.1813	1.6787
ATLAS_7TeV_y_0_1	6	6.8994	1.096	7.9954
ATLAS_7TeV_y_1_2	6	4.7533	0.4859	5.2392
ATLAS_7TeV_y_2_2.4	6	1.6877	0.0099	1.6977
ATLAS_8TeV_y_0_0.4	6	4.738	1.0098	5.7477
ATLAS_8TeV_y_0.4_0.8	6	6.4935	1.5968	8.0902
ATLAS_8TeV_y_0.8_1.2	6	4.3266	0.6857	5.0122
ATLAS_8TeV_y_1.2_1.6	6	2.9076	0.4354	3.3429
ATLAS_8TeV_y_1.6_2	6	2.4013	0.2642	2.6655
ATLAS_8TeV_y_2_2.4	6	1.1461	0.1525	1.2986
ATLAS_8TeV_Q_46_66	4	0.7042	0.0484	0.7526
ATLAS_8TeV_Q_116_150	8	1.1248	0.0066	1.1314
Total	319	-	-	1.6341

Average-over-replicas \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.4012 \pm 0.196	0.1483 \pm 0.1924	0.5495 \pm 0.0847
E605_Q_8_9	8	1.0003 \pm 0.2367	0.0859 \pm 0.1279	1.0862 \pm 0.2086
E605_Q_10.5_11.5	10	0.4673 \pm 0.2605	0.2056 \pm 0.2478	0.6728 \pm 0.0761
E288_200_Q_4_5	4	0.5306 \pm 1.2697	1.2825 \pm 1.266	1.8131 \pm 0.2217
E288_200_Q_5_6	5	2.1727 \pm 0.6684	0.4979 \pm 0.6223	2.6706 \pm 0.2632
E288_200_Q_6_7	6	0.6727 \pm 0.4411	0.3413 \pm 0.3939	1.014 \pm 0.1729
E288_200_Q_7_8	7	0.9237 \pm 0.2413	0.1062 \pm 0.1425	1.0299 \pm 0.1998
E288_200_Q_8_9	8	0.688 \pm 0.1183	0.064 \pm 0.0755	0.752 \pm 0.0997
E288_300_Q_4_5	4	0.5549 \pm 0.7565	0.5879 \pm 0.7068	1.1428 \pm 0.185
E288_300_Q_5_6	5	1.2346 \pm 0.4592	0.2725 \pm 0.3725	1.5071 \pm 0.2395
E288_300_Q_6_7	6	0.9221 \pm 0.3494	0.1676 \pm 0.2324	1.0896 \pm 0.2635
E288_300_Q_7_8	7	0.2477 \pm 0.2349	0.1536 \pm 0.1913	0.4012 \pm 0.137
E288_300_Q_8_9	8	0.3315 \pm 0.1806	0.1181 \pm 0.179	0.4496 \pm 0.0463
E288_400_Q_5_6	5	0.8122 \pm 0.3319	0.1509 \pm 0.205	0.963 \pm 0.264
E288_400_Q_6_7	6	0.4678 \pm 0.2964	0.1032 \pm 0.1282	0.571 \pm 0.2674
E288_400_Q_7_8	7	0.2127 \pm 0.269	0.1056 \pm 0.1538	0.3184 \pm 0.2222
E288_400_Q_8_9	8	0.5501 \pm 0.1788	0.0772 \pm 0.1165	0.6274 \pm 0.1502
E288_400_Q_11_12	11	0.5719 \pm 0.131	0.0414 \pm 0.055	0.6132 \pm 0.1358
E288_400_Q_12_13	12	0.5431 \pm 0.0747	0.0394 \pm 0.0527	0.5825 \pm 0.0703
E288_400_Q_13_14	12	0.3493 \pm 0.1013	0.0564 \pm 0.0544	0.4057 \pm 0.0953
STAR_510	7	1.0834 \pm 0.2123	0.1266 \pm 0.1987	1.2099 \pm 0.0741
CDF_RunI	25	0.6151 \pm 0.1782	0.1935 \pm 0.176	0.8086 \pm 0.0292
CDF_RunII	26	1.2818 \pm 0.2061	0.0594 \pm 0.0782	1.3412 \pm 0.1926
D0_RunI	12	0.606 \pm 0.118	0.0671 \pm 0.0903	0.6731 \pm 0.0658
D0_RunII	5	0.7417 \pm 0.6179	0.4881 \pm 0.5955	1.2298 \pm 0.2071
D0_RunIImu	3	-0.4071 \pm 0.6127	0.6123 \pm 0.5833	0.2052 \pm 0.148
LHCb_7TeV	7	1.7025 \pm 0.7706	1.1015 \pm 0.7533	2.8039 \pm 0.1105
LHCb_8TeV	7	1.9122 \pm 1.0007	1.5449 \pm 0.9398	3.4572 \pm 0.3265
LHCb_13TeV	7	1.4642 \pm 0.3904	0.3374 \pm 0.3847	1.8016 \pm 0.0951
CMS_7TeV	4	2.8904 \pm 0.0257	0.0 \pm 0.0	2.8904 \pm 0.0257
CMS_8TeV	4	1.3955 \pm 0.2499	0.2567 \pm 0.2426	1.6522 \pm 0.0817
ATLAS_7TeV_y_0_1	6	6.8515 \pm 0.6888	1.1929 \pm 0.5544	8.0444 \pm 0.3425
ATLAS_7TeV_y_1_2	6	4.8939 \pm 0.4218	0.5516 \pm 0.3337	5.4455 \pm 0.3158
ATLAS_7TeV_y_2_2.4	6	1.795 \pm 0.1024	0.0259 \pm 0.0376	1.8208 \pm 0.0947
ATLAS_8TeV_y_0_0.4	6	4.7816 \pm 0.5525	1.0105 \pm 0.4893	5.792 \pm 0.2334
ATLAS_8TeV_y_0.4_0.8	6	6.6527 \pm 0.7791	1.6466 \pm 0.7575	8.2993 \pm 0.2469
ATLAS_8TeV_y_0.8_1.2	6	4.2661 \pm 0.4391	0.7099 \pm 0.3556	4.976 \pm 0.1986
ATLAS_8TeV_y_1.2_1.6	6	2.8735 \pm 0.3963	0.4848 \pm 0.3412	3.3583 \pm 0.191
ATLAS_8TeV_y_1.6_2	6	2.6145 \pm 0.4707	0.3261 \pm 0.3039	2.9407 \pm 0.3556
ATLAS_8TeV_y_2_2.4	6	1.2372 \pm 0.3339	0.2317 \pm 0.221	1.4689 \pm 0.2683
ATLAS_8TeV_Q_46_66	4	0.5797 \pm 0.306	0.2128 \pm 0.303	0.7925 \pm 0.0644
ATLAS_8TeV_Q_116_150	8	1.0586 \pm 0.182	0.1009 \pm 0.1784	1.1595 \pm 0.0429
Total	319	-	-	1.6823 \pm 0.0163